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Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice

Sherzod R. OtajonovNational University of UzbekistanBakhram A. UmarovPhysical-Technical Institute of the Uzbek Academy of SciencesF. Kh. AbdullaevNational University of Uzbekistan
Physical review. Ejournal2025en
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We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Conditions for modulation instability and instability regions of nonlinear plane waves are determined in parameter space. We analytically investigate the existence of different quantum droplet solutions, including intersite, onsite, front-like, flat-top, and dark localized modes, using the Page method and variational approach. Their stability is checked using linear stability analyses and numerical simulations. The analytical predictions corroborated with the numerical simulations.

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Koʻrsatkichlar — AkademScholar · Tez orada